Subclasses of multivalent non-Bazilevič functions defined with higher order derivatives

Authors

  • M.K Aouf Mansoura University, Egypt
  • T. Bulboaca Babes-Bolyai University, Cluj-Napoca, Romania
  • T.M. Seoudy Fayoum University, Egypt

DOI:

https://doi.org/10.31926/but.mif.2020.13.62.2.4

Keywords:

Analytic functions, univalent and multivalent functions, convex functions, differential subordinations, best dominant, non-Bazilevič functions

Abstract

By making use of the principle of subordination, we introduce a certain class of multivalent non-Bazilevič functions with higher order. Also, we obtain subordination property, inclusion result, and inequality properties of this class. The results presented here would provide extensions of those given in earlier works.

Author Biographies

M.K Aouf, Mansoura University, Egypt

Department of Mathematics, Faculty of Science, Mansoura 35516

T. Bulboaca, Babes-Bolyai University, Cluj-Napoca, Romania

Faculty of Mathematics and Computer Science, 400084 Cluj-Napoca

T.M. Seoudy, Fayoum University, Egypt

Department of Mathematics, Faculty of Science, Fayoum 63514; Jamoum University College, Umm Al-Qura University, Makkah, Saudi Arabia, Department of Mathematics

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Published

2021-01-22

Issue

Vol. 13(62) No. 2 (2020)

Section

MATHEMATICS